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Potential type operators in PDEs and their applications
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Number of Authors: 4
2017 (English)In: AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616, Vol. 1798, 020178Article in journal (Refereed) Published
Abstract [en]

 We prove the boundedness of Potential operator in weighted generalized Morrey space in terms of Matuszewska-Orlicz indices of weights and apply this result to the Hemholtz equation in r3 with a free term in such a space. We also give a short overview of some typical situations when Potential type operators arise when solving PDEs.

Place, publisher, year, edition, pages
2017. Vol. 1798, 020178
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-62316DOI: 10.1063/1.4972770ISI: 000399203000177Scopus ID: 2-s2.0-85013628861OAI: oai:DiVA.org:ltu-62316DiVA: diva2:1078697
Conference
11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, France, 4-8 July 2016
Note

2017-03-03 (andbra);Konferensartikel i tidskrift

Available from: 2017-03-06 Created: 2017-03-06 Last updated: 2017-11-24Bibliographically approved

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Burtseva, EvgeniyaLundberg, StaffanPersson, Lars-ErikSamko, Natasha

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